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Wavelet Basics

  • Y. T. Chan

Table of contents

  1. Front Matter
    Pages i-ix
  2. Y. T. Chan
    Pages 1-21
  3. Y. T. Chan
    Pages 23-52
  4. Y. T. Chan
    Pages 111-123
  5. Back Matter
    Pages 125-134

About this book

Introduction

Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer.
Wavelet Basics has therefore been written as an introductory book for scientists and engineers. The mathematical presentation has been kept simple, the concepts being presented in elaborate detail in a terminology that engineers will find familiar. Difficult ideas are illustrated with examples which will also aid in the development of an intuitive insight.
Chapter 1 reviews the basics of signal transformation and discusses the concepts of duals and frames. Chapter 2 introduces the wavelet transform, contrasts it with the short-time Fourier transform and clarifies the names of the different types of wavelet transforms. Chapter 3 links multiresolution analysis, orthonormal wavelets and the design of digital filters. Chapter 4 gives a tour d'horizon of topics of current interest: wavelet packets and discrete time wavelet transforms, and concludes with applications in signal processing.

Keywords

Signal calculus development filter filter design filters signal processing wavelets

Authors and affiliations

  • Y. T. Chan
    • 1
  1. 1.Royal Military College of CanadaCanada

Bibliographic information

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